Question

A disk pulley system is set up as shown. (Use moment of inertia of the center of a disk)

r2 m2 TU

a. Symbolically find the value m1/m2 that would result in a net zero torque on the disks.

b. In the situation from part a, symbolically find the angular acceleration of the disks and tension in the ropes if m2 gains a new mass, M.

Answer 1

Solution in the uploaded images

Solution mass of pully = mp (a) 5 Torque = Forcex Idistance va nal m2 Net torque, Theta om, my Tnet = m_gx21 - miger mag m.get=midt ML my when m. becomes M Enet= Mgx21 - migxer MOI mpx(24) 2 - 2 mport? og disk, I- T-I a 2 mp rtx & - 9X [2M-m, a= g[2M-m 2mper # ng Mg-T2 = Ma. miq T, - mig =

T2 = Ma Q = mg 2rxa [2Mom M 1 g ampa (2M-mi) ampa T2 = Mg- T2 = Mg [ g[24 Ti = mia + mig To Ti= mi g[2M-mi]) +mig (2M-mi) IT TiE mig [ zme +1] mp